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2.914   ODE No. 914

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

y′(x)=2a(−4a+xy(x)2+x)−128a4+96a3xy(x)2−24a2x2y(x)4+2ax3y(x)6+4ax2y(x)−x3y(x)3−x3y(x) ✓ Mathematica : cpu = 1.66589 (sec), leaf count = 401

{{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,1]},{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,2]},{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,3]},{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,4]},{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,5]}}

✓ Maple : cpu = 3.231 (sec), leaf count = 77

{−12a(−2a(y(x))4(x(y(x))2−4a)2−(y(x))2+1(y(x))4(x(y(x))2−4a))+14a2(2ay(x)+12(y(x))2+14(y(x))4)+_C1=0}

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